How do you differentiate $A (s) = - \frac{12}{s^{5}}$ $A(s)=-12/s^5$ ?

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Answer 1 · 2016-11-27T17:24:11

$A'(s)=60/s^6$

This can be rewritten as

$A(s)=-12s^-5$

We can now use the power rule: $d/(ds)s^n=ns^(n-1)$ . The $-12$ will stay being multiplied by the variable.

$A'(s)=-12(-5)s^(-5-1)$

$A'(s)=60s^-6$

$A'(s)=60/s^6$

How do you differentiate A(s)=-12/s^5A(s)=−12s5A(s)=-12/s^5?